f(x)= 42+ kx +p is exactly divisible by x+2 and f'(x) is exactly divisible by 2x-1, find the value of k and of p. (ii) Using the values of k and p found in part (i), show that f(x) = (x+2)(ax² +bx+c), where a, b and c are integers to be found. (iii) Hence show that f(x) = 0 has only one solution and state this solution. 2 (i) Given that VEN
f(x)= 42+ kx +p is exactly divisible by x+2 and f'(x) is exactly divisible by 2x-1, find the value of k and of p. (ii) Using the values of k and p found in part (i), show that f(x) = (x+2)(ax² +bx+c), where a, b and c are integers to be found. (iii) Hence show that f(x) = 0 has only one solution and state this solution. 2 (i) Given that VEN
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![page 28
PAPER 1
J2016
5. FACTORS OF POLYNOMIALS
2 (i) Given that f(x)= 42 +kx+p is exactly divisible by x+2 and f'(x) is exactly divisible by
2x-1, find the value of k and of p.
(ii) Using the values of k and p found in part (i), show that f(x) = (x+2)(ax²+bx+c),
where a, b and c are integers to be found.
(iii) Hence show that f(x) = 0 has only one solution and state this solution.
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S VENT](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd4c2ba2d-89d9-4ecf-959b-3e3aa7eca382%2F50436ef1-94e7-4e52-9a44-8ce01f04eb64%2Fiawcdfo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:page 28
PAPER 1
J2016
5. FACTORS OF POLYNOMIALS
2 (i) Given that f(x)= 42 +kx+p is exactly divisible by x+2 and f'(x) is exactly divisible by
2x-1, find the value of k and of p.
(ii) Using the values of k and p found in part (i), show that f(x) = (x+2)(ax²+bx+c),
where a, b and c are integers to be found.
(iii) Hence show that f(x) = 0 has only one solution and state this solution.
CS CamScanner로 스캔하기
S VENT
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